A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bottles follows a Normal distribution with mean 16.05 ounces and standard deviation 0.1 ounce. Assume that the machine is working properly. If 4 bottles are randomly selected and the number of ounces in each bottle is measured, then there is about a 95% probability that the sample mean will fall in which of the following intervals?

a. 16.05 to 16.15 ounces

b. 16.00 to 16.10 ounces

c. 15.95 to 16.15 ounces

d. 15.90 to 16.20 ounces

e. 15.85 to 16.25 ounces

Select the best answer.